Least Common Multiple of 582 and 588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 582 and 588 the smallest integer that is 57036 that is divisible by both numbers.

Least Common Multiple (LCM) of 582 and 588 is 57036.

LCM(582,588) = 57036

LCM of 582 and 588

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 582 and 588

LCM of 582 and 588 is 57036

Least common multiple can be found by multiplying the highest exponent prime factors of 582 and 588. First we will calculate the prime factors of 582 and 588.

Prime Factorization of 582


2 582
3 291
97 97
1

Prime factors of 582 are 2, 3,97. Prime factorization of 582 in exponential form is:

582 = 21×31×971

Prime Factorization of 588


2 588
2 294
3 147
7 49
7 7
1

Prime factors of 588 are 2, 3,7. Prime factorization of 588 in exponential form is:

588 = 22×31×72

Now multiplying the highest exponent prime factors to calculate the LCM of 582 and 588.

LCM(582,588) = 22×31×72×971
LCM(582,588) = 57036

Factors of 582

List of positive integer factors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Least Common Multiple of 582 and 588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 582 and 588, than apply into the LCM equation.

GCF(582,588) = 6
LCM(582,588) = ( 582 × 588) / 6
LCM(582,588) = 342216 / 6
LCM(582,588) = 57036

Properties of LCM 582 and 588

(i) The LCM of 588 and 582 is associative

LCM of 582 and 588 = LCM of 588 and 582

Related Least Common Multiples of 582

Related Least Common Multiples of 588

Frequently Asked Questions on LCM of 582 and 588

1. What is the LCM of 582 and 588?

Answer: LCM of 582 and 588 is 57036.

2. What are the Factors of 582?

Answer: Factors of 582 are 1, 2, 3, 6, 97, 194, 291, 582. There are 8 integers that are factors of 582. The greatest factor of 582 is 582.

3. What are the Factors of 588?

Answer: Factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588. There are 18 integers that are factors of 588. The greatest factor of 588 is 588.

4. How to Find the LCM of 582 and 588?

Answer:

Least Common Multiple of 582 and 588 = 57036

Step 1: Find the prime factorization of 582

582 = 2 x 3 x 97

Step 2: Find the prime factorization of 588

588 = 2 x 2 x 3 x 7 x 7

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 57036 = 2 x 2 x 3 x 7 x 7 x 97

Step 4: Therefore, the least common multiple of 582 and 588 is 57036.